Matches in SemOpenAlex for { <https://semopenalex.org/work/W2079314807> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2079314807 endingPage "860" @default.
- W2079314807 startingPage "845" @default.
- W2079314807 abstract "The global Arnoldi method can be used to compute exterior eigenpairs of a large non-Hermitian matrix A , but it does not work well for interior eigenvalue problems. Based on the global Arnoldi process that generates an F -orthonormal basis of a matrix Krylov subspace, we propose a global harmonic Arnoldi method for computing certain harmonic F -Ritz pairs that are used to approximate some interior eigenpairs. We propose computing the F -Rayleigh quotients of the large non-Hermitian matrix with respect to harmonic F -Ritz vectors and taking them as new approximate eigenvalues. They are better and more reliable than the harmonic F -Ritz values. The global harmonic Arnoldi method inherits convergence properties of the harmonic Arnoldi method applied to a larger matrix whose distinct eigenvalues are the same as those of the original given matrix. Some properties of the harmonic F -Ritz vectors are presented. As an application, assuming that A is diagonalizable, we show that the global harmonic Arnoldi method is able to solve multiple eigenvalue problems both in theory and in practice. To be practical, we develop an implicitly restarted global harmonic Arnoldi algorithm with certain harmonic F -shifts suggested. In particular, this algorithm can be adaptively used to solve multiple eigenvalue problems. Numerical experiments show that the algorithm is efficient for the eigenproblem and is reliable for quite ill-conditioned multiple eigenproblems." @default.
- W2079314807 created "2016-06-24" @default.
- W2079314807 creator A5075378610 @default.
- W2079314807 creator A5078463638 @default.
- W2079314807 date "2010-06-01" @default.
- W2079314807 modified "2023-09-30" @default.
- W2079314807 title "A global harmonic Arnoldi method for large non-Hermitian eigenproblems with an application to multiple eigenvalue problems" @default.
- W2079314807 cites W101236918 @default.
- W2079314807 cites W1522512418 @default.
- W2079314807 cites W1527118755 @default.
- W2079314807 cites W1562237811 @default.
- W2079314807 cites W1563653928 @default.
- W2079314807 cites W1596181878 @default.
- W2079314807 cites W1619955978 @default.
- W2079314807 cites W1760551737 @default.
- W2079314807 cites W187548317 @default.
- W2079314807 cites W189303872 @default.
- W2079314807 cites W1969720769 @default.
- W2079314807 cites W1977847746 @default.
- W2079314807 cites W1990972291 @default.
- W2079314807 cites W1993531511 @default.
- W2079314807 cites W1994127340 @default.
- W2079314807 cites W1997009346 @default.
- W2079314807 cites W2006651457 @default.
- W2079314807 cites W201600687 @default.
- W2079314807 cites W2018784891 @default.
- W2079314807 cites W2022393151 @default.
- W2079314807 cites W2039510785 @default.
- W2079314807 cites W2042297594 @default.
- W2079314807 cites W2051770164 @default.
- W2079314807 cites W2055000341 @default.
- W2079314807 cites W2069262775 @default.
- W2079314807 cites W2070348046 @default.
- W2079314807 cites W2074095860 @default.
- W2079314807 cites W2075511500 @default.
- W2079314807 cites W2086160340 @default.
- W2079314807 cites W2091138132 @default.
- W2079314807 cites W2091189957 @default.
- W2079314807 cites W2093844686 @default.
- W2079314807 cites W2147542748 @default.
- W2079314807 doi "https://doi.org/10.1016/j.cam.2010.01.049" @default.
- W2079314807 hasPublicationYear "2010" @default.
- W2079314807 type Work @default.
- W2079314807 sameAs 2079314807 @default.
- W2079314807 citedByCount "2" @default.
- W2079314807 countsByYear W20793148072017 @default.
- W2079314807 countsByYear W20793148072018 @default.
- W2079314807 crossrefType "journal-article" @default.
- W2079314807 hasAuthorship W2079314807A5075378610 @default.
- W2079314807 hasAuthorship W2079314807A5078463638 @default.
- W2079314807 hasBestOaLocation W20793148071 @default.
- W2079314807 hasConcept C121332964 @default.
- W2079314807 hasConcept C134306372 @default.
- W2079314807 hasConcept C155332342 @default.
- W2079314807 hasConcept C158693339 @default.
- W2079314807 hasConcept C192702615 @default.
- W2079314807 hasConcept C202444582 @default.
- W2079314807 hasConcept C28826006 @default.
- W2079314807 hasConcept C33923547 @default.
- W2079314807 hasConcept C43143463 @default.
- W2079314807 hasConcept C62520636 @default.
- W2079314807 hasConcept C6802819 @default.
- W2079314807 hasConcept C94940 @default.
- W2079314807 hasConceptScore W2079314807C121332964 @default.
- W2079314807 hasConceptScore W2079314807C134306372 @default.
- W2079314807 hasConceptScore W2079314807C155332342 @default.
- W2079314807 hasConceptScore W2079314807C158693339 @default.
- W2079314807 hasConceptScore W2079314807C192702615 @default.
- W2079314807 hasConceptScore W2079314807C202444582 @default.
- W2079314807 hasConceptScore W2079314807C28826006 @default.
- W2079314807 hasConceptScore W2079314807C33923547 @default.
- W2079314807 hasConceptScore W2079314807C43143463 @default.
- W2079314807 hasConceptScore W2079314807C62520636 @default.
- W2079314807 hasConceptScore W2079314807C6802819 @default.
- W2079314807 hasConceptScore W2079314807C94940 @default.
- W2079314807 hasIssue "3" @default.
- W2079314807 hasLocation W20793148071 @default.
- W2079314807 hasOpenAccess W2079314807 @default.
- W2079314807 hasPrimaryLocation W20793148071 @default.
- W2079314807 hasRelatedWork W1984452975 @default.
- W2079314807 hasRelatedWork W2069195908 @default.
- W2079314807 hasRelatedWork W2085350510 @default.
- W2079314807 hasRelatedWork W2188943855 @default.
- W2079314807 hasRelatedWork W2227692226 @default.
- W2079314807 hasRelatedWork W2359579876 @default.
- W2079314807 hasRelatedWork W2567288835 @default.
- W2079314807 hasRelatedWork W2804140902 @default.
- W2079314807 hasRelatedWork W2805921348 @default.
- W2079314807 hasRelatedWork W3134028852 @default.
- W2079314807 hasVolume "234" @default.
- W2079314807 isParatext "false" @default.
- W2079314807 isRetracted "false" @default.
- W2079314807 magId "2079314807" @default.
- W2079314807 workType "article" @default.